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Dynamics in a neigborhood of separatrices of an area-preserving map

  • Dmitry Treschev
Dynamics And Chaos
Part of the Lecture Notes in Physics book series (LNP, volume 511)

Abstract

We discuss the global structure of the separatrix branches in a two-dimensional area-preserving map and present some formulas estimating the width of stochastic layers, provided the map is near-integrable. The concept of the separatrix map is also discussed.

Keywords

Invariant Curve Separatrix Branch Homoclinic Point Stochastic Layer Hyperbolic Periodic Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Dmitry Treschev
    • 1
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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